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Finding the Fourth Proportional to 24,274.86, 36,426.41 and 10,234.01

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Solution

The fourth proportional to 24,274.86, 36,426.41 and 10,234.01 is: 15,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.86 : 36,426.41 = 10,234.01 : x
  2. Step 2: Convert to fraction form
    24,274.86/36,426.41 = 10,234.01/x
  3. Step 3: Cross multiply
    24,274.86x = 36,426.41 × 10,234.01
  4. Step 4: Simplify right side
    24,274.86x = 372,788,322.48
  5. Step 5: Solve for x
    x = 372,788,322.48/24,274.86
  6. Step 6: Final answer
    x = 15,356.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.